Find the slope of a line given two points. Leave fractions improper if you find one. Simplify.
1) (3,-2) and (4,4)
2) (-1,-1) and (0,3)
3) (-2, 0) and (4,-3)
4) (-4,5) and (1,-2)
5) (1,5) and (6,10)
What is an axis intercept?
An axis intercept is a point where a line crosses the x axis or the y axis on a coordinate graph.
Learning Objectives
Identify the x and y intercepts from a linear equation using the zero method.
Graph a line with the x and y intercepts.
Lesson Notes
If you have a linear equation that represents a line then you can use that equation to find the points that the line will cross the x and y axis. Remember that the x axis is the line on the graph the goes left to right, and the y axis is the line that goes up and down. The following method is used to find the points on a line that cross the x axis and y axis.
Zero Method
To use the zero method, replace one variable at a time with the number zero.
For example: 2x + 3y = 6
Replace the y with zero 2x + 3(0) = 6
Now solve for x, 2x = 6
x = 3
This means that the line that fits the equation will cross the x axis at the point (3,0). You can identify the y intercept using the same steps. Just solve for y instead of x.
Replace the x with zero 2(0) + 3y = 6
Now solve for y 3y = 6
y = 2
This means that the line crosses the y axis at (0,2)
The graph below shows the pints in red that the line crosses the x and y axis. The line crosses the x axis at 3 and the y axis at 2.
View Video
The following video describes how to graph a line using the x and y intercepts. If you are having trouble viewing this video right click on the black screen and select zoom to full screen.
Intercepts Video
PowerPoint
View the following presentation on the zero method. View as a PowerPoint
Now its your turn. The link below will take you to your assignment. Make sure to show your work. This assignment can be edited and saved on your computer. To turn this assignment in each student is to do one of the following things.
Save the edited version on your computer and email the file as an attachment to Mr. Clarke. Use the following link to email. troy.clarke@canyonsdistrict.org
Print out a copy of the worksheet and hand in the completed assignment in class.
Axis Intercepts
Warm Up
Find the slope of a line given two points. Leave fractions improper if you find one. Simplify.1) (3,-2) and (4,4)
2) (-1,-1) and (0,3)
3) (-2, 0) and (4,-3)
4) (-4,5) and (1,-2)
5) (1,5) and (6,10)
What is an axis intercept?
An axis intercept is a point where a line crosses the x axis or the y axis on a coordinate graph.Learning Objectives
Lesson Notes
If you have a linear equation that represents a line then you can use that equation to find the points that the line will cross the x and y axis. Remember that the x axis is the line on the graph the goes left to right, and the y axis is the line that goes up and down. The following method is used to find the points on a line that cross the x axis and y axis.
Zero Method
To use the zero method, replace one variable at a time with the number zero.
For example: 2x + 3y = 6
- Replace the y with zero 2x + 3(0) = 6
- Now solve for x, 2x = 6
- x = 3
This means that the line that fits the equation will cross the x axis at the point (3,0). You can identify the y intercept using the same steps. Just solve for y instead of x.- Replace the x with zero 2(0) + 3y = 6
- Now solve for y 3y = 6
- y = 2
This means that the line crosses the y axis at (0,2)The graph below shows the pints in red that the line crosses the x and y axis. The line crosses the x axis at 3 and the y axis at 2.
View Video
The following video describes how to graph a line using the x and y intercepts. If you are having trouble viewing this video right click on the black screen and select zoom to full screen.Intercepts Video
PowerPoint
View the following presentation on the zero method.View as a PowerPoint
View as a PDF
Assignment
Now its your turn. The link below will take you to your assignment. Make sure to show your work. This assignment can be edited and saved on your computer. To turn this assignment in each student is to do one of the following things.Intercepts Assignment
Quiz
SlopeAxis Intercepts
Slope Intercept Form
Point Slope Form
Standard Form
For Teachers
Axis Intercepts Lesson Plan